Base | Representation |
---|---|
bin | 110110011011001000… |
… | …011101010101100100 |
3 | 12120211121000102100211 |
4 | 312123020131111210 |
5 | 1424134414320034 |
6 | 42502401145204 |
7 | 4136062343200 |
oct | 663310352544 |
9 | 176747012324 |
10 | 58437260644 |
11 | 22868345934 |
12 | b3aa62b204 |
13 | 5683a6c149 |
14 | 2b850dbb00 |
15 | 17c0463d64 |
hex | d9b21d564 |
58437260644 has 81 divisors (see below), whose sum is σ = 123143909049. Its totient is φ = 24193139040.
The previous prime is 58437260617. The next prime is 58437260647. The reversal of 58437260644 is 44606273485.
The square root of 58437260644 is 241738.
It is a perfect power (a square), and thus also a powerful number.
58437260644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 5127992100 + 53309268544 = 71610^2 + 230888^2 .
It is a Harshad number since it is a multiple of its sum of digits (49).
It is not an unprimeable number, because it can be changed into a prime (58437260647) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104914014 + ... + 104914570.
Almost surely, 258437260644 is an apocalyptic number.
58437260644 is the 241738-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 58437260644
58437260644 is an abundant number, since it is smaller than the sum of its proper divisors (64706648405).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
58437260644 is an equidigital number, since it uses as much as digits as its factorization.
58437260644 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1194 (or 597 counting only the distinct ones).
The product of its (nonzero) digits is 3870720, while the sum is 49.
Multiplying 58437260644 by its sum of digits (49), we get a square (2863425771556 = 16921662).
58437260644 divided by its sum of digits (49) gives a square (1192597156 = 345342).
The spelling of 58437260644 in words is "fifty-eight billion, four hundred thirty-seven million, two hundred sixty thousand, six hundred forty-four".
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